The authors obtain the first stability estimates for the principal part of the isotropic fractional Calderón problem with exterior data by quantitatively transferring uniqueness from the local case via unique continuation and Runge approximation.
The Calder´ on problem for variable coefficients nonlocal elliptic operators.Communications in Partial Differential Equations, 42(12):1923–1961,
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On the transfer of stability from the local to the fractional anisotropic Calder\'on problem with exterior measurements
The authors obtain the first stability estimates for the principal part of the isotropic fractional Calderón problem with exterior data by quantitatively transferring uniqueness from the local case via unique continuation and Runge approximation.